Jan Steffen Müller

Postdoc
Department of Mathematics
Research group algebra and number theory (AZ)
Universität Hamburg
Bundesstraße 55 (Geomatikum)
20146 Hamburg
Germany


Room 335
Phone: +49-40-42838-5189
E-Mail: jan(dot)steffen(dot)mueller(at)math(dot)uni(minus)hamburg(dot)de
Office hour: By appointment

Research interests

• Computational number theory
• Arithmetic Geometry

Preprints and publications

• Explicit Kummer surface formulas for arbitrary characteristic. LMS J. Comput. Math. 13, 47-64 (2010).
• Local heights on elliptic curves and intersection multiplicities (with Vincenz Busch), to appear in Int. J. Number Theory (2012).
• Computing canonical heights on Jacobians, Dissertation at the Department of Mathematics of the University of Bayreuth, (2010).
• Computing canonical heights using arithmetic intersection theory, Preprint (2011), submitted to Math. Comp.

Talk slides

• Computing canonical heights using arithmetic intersection theory
    Séminaire de Cryptographie de Rennes, December 2011
    Université Rennes I
• Algorithmische Aspekte der Vermutung von Birch und Swinnerton-Dyer
    Oberseminar Algebraische Geometrie, June 2011,
    LMU München
• Arithmetik von Kummer Varietäten
    Oberseminar Algebra, February 2011
    Universität Oldenburg
• Computing canonical heights on Jacobians
    Rational points: Theory & Experiment, Workshop, May 2010
    ETH Zürich
• Explicit Kummer surface theory for arbitrary characteristic
    Rational points on curves and higher-dimensional varieties, June 2009
    University of Warwick
• For further talks see my cv.

Code

• Computation of canonical heights on Jacbobians of hyperelliptic curves over number fields using arithmetic intersection theory

  • Implementation of the algorithm described in Computing canonical heights using arithmetic intersection theory in Magma
  • Since Version 2.18 part of the official Magma-distribution

Teaching

• Lehre im Wintersemester 2011/12

  • Vorkurs Mathematik,
  • Tutorium zur Linearen Algebra, Mo 13-14 Uhr, Geom 434,
  • Softwarepraktikum, Di 12-14 Uhr, Geom 142.

• Lehre im Sommersemester 2011

  • Tutorium zur Linearen Algebra II, Mi 16-17 Uhr, Geom 430 sowie Fr 10-11 Uhr und Fr 13-14 Uhr, jeweils Geom 1241.
  • Übung zur Linearen Algebra II, Fr 11-13 Uhr, Geom 1241.

• Lehre im Wintersemester 2010/11

  • Seminar zur Zahlentheorie, Mi 14-16 Uhr Geom 432. Das Seminar behandelt die Arithmetik elliptischer Kurven. Eine genauere Themenbeschreibung mit Vortragsliste befindet sich hier. Siehe auch die STiNE-Seite des Seminars.
  • Tutorium zur Linearen Algebra, Di 12-13 Uhr und Di 13-14 Uhr, jeweils Geom 435.